Question

I apologize about the quality the shaded region is the trapezoid part not the square in the middle

Answer 1

First, find the area of the trapezoid.

Area of a trapezoid = 0.5 ( sum of bases ) x height

bases = 15in, 8in

height = 8in

A 1 = 0.5 (15 + 8 ) x 8 = 92 in 2

Then, subtract the area of the rectangle:

Area of a rectangle = lenght x width

L = 5

W= 3

A2 = 5 x 3 = 15 in 2

Area of the shaded region = A1 - A2 = 92 - 15 = 77 in2